15 citations · 38 across the 11 of their papers we have counts for
21 papers
Discontinuous Galerkin schemes for multi-dimensional coupled hyperbolic systems
Niklas Kolbe, Siegfried Müller, Aleksey Sikstel
A novel class of Runge-Kutta discontinuous Galerkin schemes for coupled systems of conservation laws in multiple space dimensions that are separated by a fixed sharp interface is i…
A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid
Niklas Kolbe, Siegfried Müller
A recently developed coupling strategy for two nonconservative hyperbolic systems is employed to investigate a collapsing vapor bubble embedded in a liquid near a solid. For this p…
A one-dimensional model for aspiration in blood vessels
Niklas Kolbe, Dimitrios Katsaounis, Xiangge Yin +1
This work introduces a reduced one-dimensional model for aspiration in blood vessels that accounts for the elasticity of both the vessel wall and the catheter. The inclusion of ves…
Numerical schemes for coupled systems of nonconservative hyperbolic equations
Niklas Kolbe, Michael Herty, Siegfried Müller
A new linear relaxation system for nonconservative hyperbolic systems is introduced, in which a nonlocal source term accounts for the nonconservative product of the original system…
A data-driven microscopic on-ramp model based on macroscopic network flows
Niklas Kolbe, Moritz Berghaus, Eszter Kalló +2
While macroscopic traffic flow models consider traffic as a fluid, microscopic traffic flow models describe the dynamics of individual vehicles. Capturing macroscopic traffic pheno…
A central scheme for coupled hyperbolic systems
Michael Herty, Niklas Kolbe, Siegfried Müller
A novel numerical scheme to solve coupled systems of conservation laws is introduced. The scheme is derived based on a relaxation approach and does not require information on the L…